TR-PINK-F-087 / Teal / Review draft

Cone area by height

Terminology revised · September 12 evidence

Later individual Teal rerun. The reported execution status is historical and is not a new test result.

TEAL LIBRARY RERUN  |  12 SEPTEMBER 2026  |  Michael Patrick Bangel
108
TEAL-RERUN-02-B005 | SCOPED_EXECUTION_VERIFIED
TR-PINK-F-087 / Cone area by height
IF
Invoke F-087 with exactly these inputs: base_area: Real, width_ratio: Real, height: Real, cone_height: Real.
Real values use finite decimal text; null remains unknown.
HOW
Source expression: A(z)=A_B*(1+(k_W-1)*z/H_C)^2. Current Bangel expression: base_area * (1.0 +
(width_ratio - 1.0) * height / cone_height) * (1.0 + (width_ratio - 1.0) * height / cone_height). Require every
input to be known. Require base_area > 0.0 and width_ratio > 0.0 and cone_height > 0.0 and height >= 0.0
and height <= cone_height.
THEN
Emit the scoped calculation result. Missing inputs produce their specific PINK_MISSING_* HOLD; failed profile
checks produce PINK_DOMAIN. A false numeric predicate can occur in a PASS calculation receipt; it is not
permission.
CURRENT EVIDENCE
Fixture inputs {"base_area": "4", "width_ratio": "2", "height": "3", "cone_height": "6"}; expected 9. Result
matched through Bangel, admitted JP, the Bangel API, with validated receipt outputs. 4 missing-input cases
and 1 supplied domain cases passed.
SOURCE DIMENSION
area
REMAINING REQUIREMENT
Complete the source-defined measurement/evidence contract, units and calibration bindings. Native C# and Hagar formula-ID
bindings remain unverified in this rerun.
SOURCE REFERENCES
D006 pp. 195,196; D012 pp. 79,80
Evidence: evidence/rerun/pink/F-087.json

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